A Student's Guide to Maxwell's Equations


Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 9781139468473
Category: Science
Page: N.A
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Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

Maxwell's Equations


Author: Paul G. Huray
Publisher: John Wiley & Sons
ISBN: 0470549904
Category: Science
Page: 312
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An authoritative view of Maxwell's Equations that takes theory to practice Maxwell's Equations is a practical guide to one of the most remarkable sets of equations ever devised. Professor Paul Huray presents techniques that show the reader how to obtain analytic solutions for Maxwell's equations for ideal materials and boundary conditions. These solutions are then used as a benchmark for solving real-world problems. Coverage includes: An historical overview of electromagnetic concepts before Maxwell and how we define fundamental units and universal constants today A review of vector analysis and vector operations of scalar, vector, and tensor products Electrostatic fields and the interaction of those fields with dielectric materials and good conductors A method for solving electrostatic problems through the use of Poisson's and Laplace's equations and Green's function Electrical resistance and power dissipation; superconductivity from an experimental perspective; and the equation of continuity An introduction to magnetism from the experimental inverse square of the Biot-Savart law so that Maxwell's magnetic flux equations can be deduced Maxwell's Equations serves as an ideal textbook for undergraduate students in junior/senior electromagnetics courses and graduate students, as well as a resource for electrical engineers.

Electricity and Magnetism for Mathematicians

A Guided Path from Maxwell's Equations to Yang-Mills
Author: Thomas A. Garrity
Publisher: Cambridge University Press
ISBN: 1107435161
Category: Mathematics
Page: 294
View: 2256

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Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.

An Introduction to Electromagnetic Wave Propagation and Antennas


Author: Shane Cloude
Publisher: Springer Science & Business Media
ISBN: 9780387915012
Category: Technology & Engineering
Page: 176
View: 2701

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This highly illustrated and accessible text will be an ideal introduction to the application of electromagnetics (EM) following an initial course in basic EM theory. The book covers the well established structure of elementary EM courses, beginning with Maxwell’s equations in integral form and developing the wave equation to show the essential properties of waves. In addition to providing a grounding in this traditional curriculum, the principal concern throughout is to make difficult concepts of electromagnetism more accessible. The adoption of time domain methods for this purpose is the book’s most important breakthrough, allowing the fundamentals of applied electromagnetics to be introduced with a clarity and simplicity not available through the conventional route. Another new aspect of this book is the integration of computational modelling methods with the standard theory of electromagnetic waves. The author presents a set of example programs written in the MATLAB language to support the ideas outlined in the text. The book is organized in a logical progression of ideas, starting with the general idea of wave motion and showing how the equations of electricity and magnetism lead to the existence of electromagnetic waves through the Maxwell’s equations. These ideas are then applied to simple accelerating charge models used in the engineering design of wire antennas. The concepts of resonance and antenna impedance are then treated from a time domain point of view. To reinforce the concepts of wave propagation, a chapter on computer modelling shows the rigorous procedures required to generate accurate numerical models of wave dynamics. The author extends these ideas to consider the properties of aperture antennas, showing how their important properties can be incorporated with the basic themes introduced earlier in the book. Finally, the important topic of wave scattering is introduced, once again from the point of view of time domain concepts.

An Introduction to Metamaterials and Waves in Composites


Author: Biswajit Banerjee
Publisher: CRC Press
ISBN: 1439841578
Category: Science
Page: 375
View: 4071

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Requiring no advanced knowledge of wave propagation, An Introduction to Metamaterials and Waves in Composites focuses on theoretical aspects of metamaterials, periodic composites, and layered composites. The book gives novices a platform from which they can start exploring the subject in more detail. After introducing concepts related to elasticity, acoustics, and electrodynamics in media, the text presents plane wave solutions to the equations that describe elastic, acoustic, and electromagnetic waves. It examines the plane wave expansion of sources as well as scattering from curved interfaces, specifically spheres and cylinders. The author then covers electrodynamic, acoustic, and elastodynamic metamaterials. He also describes examples of transformations, aspects of acoustic cloaking, and applications of pentamode materials to acoustic cloaking. With a focus on periodic composites, the text uses the Bloch-Floquet theorem to find the effective behavior of composites in the quasistatic limit, presents the quasistatic equations of elastodynamic and electromagnetic waves, and investigates Brillouin zones and band gaps in periodic structures. The final chapter discusses wave propagation in smoothly varying layered media, anisotropic density of a periodic layered medium, and quasistatic homogenization of laminates. This book provides a launch pad for research into elastic and acoustic metamaterials. Many of the ideas presented have yet to be realized experimentally—the book encourages readers to explore these ideas and bring them to technological maturity.

Maxwell’s Equations and the Principles of Electromagnetism


Author: Richard Fitzpatrick
Publisher: Jones & Bartlett Publishers
ISBN: 1934015202
Category: Science
Page: 438
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Designed for upper division electromagnetism courses or as a reference for electrical engineers and scientists, this book introduces Maxwell’s equations and electromagnetic waves as soon as possible (i.e., in the first third of the book), and then goes on to discuss electrostatics, magnetostatics, induction, etc., in the light of those equations. The book also provides a thorough discussion of vector field theory which emphasizes the rotational invariance of the dot and cross products, together with div, grad, and curl, and thus gives a clear physical motivation for the use of those constructs to describe electric and magnetic fields. Unlike many competing books, Maxwell’s Equations & the Principles of Electromagnetism covers topics such as advanced potentials, retarded fields, forces on dielectric liquids, antenna theory, and Faraday rotations.

Introduction to the Classical Theory of Particles and Fields


Author: Boris Kosyakov
Publisher: Springer Science & Business Media
ISBN: 3540409343
Category: Science
Page: 479
View: 3675

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This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.

An Introduction to Applied Electromagnetics and Optics


Author: Vladimir V. Mitin,Dmitry I. Sementsov
Publisher: CRC Press
ISBN: 1498776302
Category: Technology & Engineering
Page: 368
View: 8286

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Modern technology is rapidly developing and for this reason future engineers need to acquire advanced knowledge in science and technology, including electromagnetic phenomena. This book is a contemporary text of a one-semester course for junior electrical engineering students. It covers a broad spectrum of electromagnetic phenomena such as, surface waves, plasmas, photonic crystals, negative refraction as well as related materials including superconductors. In addition, the text brings together electromagnetism and optics as the majority of texts discuss electromagnetism disconnected from optics. In contrast, in this book both are discussed. Seven labs have been developed to accompany the material of the book.

Electromagnetic Fields and Waves


Author: Vladimir Rojansky
Publisher: Courier Corporation
ISBN: 0486147738
Category: Science
Page: 464
View: 4138

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This comprehensive introduction to classical electromagnetic theory covers the major aspects, including scalar fields, vectors, laws of Ohm, Joule, Coulomb, Faraday, Maxwell's equation, and more. With numerous diagrams and illustrations.

Elektrodynamik


Author: David J. Griffiths
Publisher: Pearson Deutschland GmbH
ISBN: 386894057X
Category: Electrodynamics
Page: 708
View: 2463

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Introduction to Engineering Electromagnetic Fields


Author: K Umashankar
Publisher: World Scientific Publishing Company
ISBN: 9813103744
Category: Technology & Engineering
Page: 676
View: 8114

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This is a textbook designed to provide analytical background material in the area of Engineering Electromagnetic Fields for the senior level undergraduate and preparatory level graduate electrical engineering students. It is also an excellent reference book for researchers in the field of computational electromagnetic fields. The textbook covers — Static Electric and Magnetic Fields: The basic laws governing the Electrostatics, Magnetostatics with engineering examples are presented which are enough to understand the fields and the electric current and charge sources. Dynamic Electromagnetic Fields: The Maxwell's equations in Time-Domain and solutions, the Maxwell's equations in Frequency-Domain and solutions. Extensive approaches are presented to solve partial differential equations satisfying electromagnetic boundary value problems. Foundation to electromagnetic field radiation, guided wave propagation is discussed to expose at the undergraduate level application of the Maxwell's equations to practical engineering problems. Request Inspection Copy

An Introduction to Ocean Remote Sensing


Author: Seelye Martin
Publisher: Cambridge University Press
ISBN: 9780521802802
Category: Science
Page: 426
View: 543

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Originally published in 2004, An Introduction to Ocean Remote Sensing describes the use of satellite data in the retrieval of oceanic physical and biological properties. It gives examples of the kinds of data that can be acquired and describes their oceanographic application. It also describes national and international programs in satellite oceanography. The book covers radiative transfer, ocean surface properties, satellite orbits, instruments and methods, visible remote sensing of biological properties, infrared sea surface temperature retrieval, passive microwave measurements, scatterometer wind retrieval, altimetry and SAR. Newer techniques, such as polarimetric passive microwave radiometers and SARs, interferometric radar altimetry and sea surface salinity retrieval are also discussed. This textbook is designed for graduate and senior undergraduate courses in satellite oceanography, and will prepare students and interested scientists to use satellite data in oceanographic research.

Klassische Elektrodynamik


Author: John David Jackson
Publisher: Walter de Gruyter
ISBN: 311033447X
Category: Science
Page: 957
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The German translation of this classic of theoretical physics is now available in a further revised edition. This renders theoretical electrodynamics even more comprehensible than before. Unique to this textbook of electrodynamics are the incomparably large number of calculated examples and special cases and the many exercises at the end of each chapter.

Electromagnetism

Maxwell Equations, Wave Propagation and Emission
Author: Tamer Becherrawy
Publisher: John Wiley & Sons
ISBN: 1118587774
Category: Science
Page: 560
View: 3363

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This book deals with electromagnetic theory and its applicationsat the level of a senior-level undergraduate course for science andengineering. The basic concepts and mathematical analysis areclearly developed and the important applications are analyzed. Eachchapter contains numerous problems ranging in difficulty fromsimple applications to challenging. The answers for the problemsare given at the end of the book. Some chapters which open doors tomore advanced topics, such as wave theory, special relativity,emission of radiation by charges and antennas, are included. The material of this book allows flexibility in the choice of thetopics covered. Knowledge of basic calculus (vectors, differentialequations and integration) and general physics is assumed. Therequired mathematical techniques are gradually introduced. After adetailed revision of time-independent phenomena in electrostaticsand magnetism in vacuum, the electric and magnetic properties ofmatter are discussed. Induction, Maxwell equations andelectromagnetic waves, their reflection, refraction, interferenceand diffraction are also studied in some detail. Four additionaltopics are introduced: guided waves, relativistic electrodynamics,particles in an electromagnetic field and emission of radiation. Auseful appendix on mathematics, units and physical constants isincluded. Contents 1. Prologue. 2. Electrostatics in Vacuum. 3. Conductors and Currents. 4. Dielectrics. 5. Special Techniques and Approximation Methods. 6. Magnetic Field in Vacuum. 7. Magnetism in Matter. 8. Induction. 9. Maxwell’s Equations. 10. Electromagnetic Waves. 11. Reflection, Interference, Diffraction and Diffusion. 12. Guided Waves. 13. Special Relativity and Electrodynamics. 14. Motion of Charged Particles in an Electromagnetic Field. 15. Emission of Radiation.

An Introduction to the Theory of the Boltzmann Equation


Author: Stewart Harris
Publisher: Courier Corporation
ISBN: 0486143821
Category: Science
Page: 256
View: 6766

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This introductory graduate-level text emphasizes physical aspects of the theory of Boltzmann's equation in a detailed presentation that doubles as a practical resource for professionals. 1971 edition.

Finite Element Methods for Maxwell's Equations


Author: Peter Monk,Department of Mathematics Sciences Peter Monk, PH.
Publisher: Oxford University Press
ISBN: 9780198508885
Category: Mathematics
Page: 450
View: 5702

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The emphasis in on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book.

Electromagnetism


Author: John C. Slater,Nathaniel H. Frank
Publisher: Courier Corporation
ISBN: 0486150402
Category: Science
Page: 256
View: 5362

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A basic introduction to electromagnetism, supplying the fundamentals of electrostatics and magnetostatics, in addition to a thorough investigation of electromagnetic theory. Numerous problems and references. Calculus and differential equations required. 1947 edition.

An Introduction to Mathematical Analysis for Economic Theory and Econometrics


Author: Dean Corbae,Maxwell B. Stinchcombe,Juraj Zeman
Publisher: Princeton University Press
ISBN: 1400833086
Category: Business & Economics
Page: 688
View: 1859

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Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in economics research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj Zeman equip students with the knowledge of real and functional analysis and measure theory they need to read and do research in economic and econometric theory. Unlike other mathematics textbooks for economics, An Introduction to Mathematical Analysis for Economic Theory and Econometrics takes a unified approach to understanding basic and advanced spaces through the application of the Metric Completion Theorem. This is the concept by which, for example, the real numbers complete the rational numbers and measure spaces complete fields of measurable sets. Another of the book's unique features is its concentration on the mathematical foundations of econometrics. To illustrate difficult concepts, the authors use simple examples drawn from economic theory and econometrics. Accessible and rigorous, the book is self-contained, providing proofs of theorems and assuming only an undergraduate background in calculus and linear algebra. Begins with mathematical analysis and economic examples accessible to advanced undergraduates in order to build intuition for more complex analysis used by graduate students and researchers Takes a unified approach to understanding basic and advanced spaces of numbers through application of the Metric Completion Theorem Focuses on examples from econometrics to explain topics in measure theory